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CVPR
2003
IEEE
14 years 6 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi
IPMI
2003
Springer
14 years 5 months ago
Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis
The Gaussian distribution is the basis for many methods used in the statistical analysis of shape. One such method is principal component analysis, which has proven to be a powerfu...
P. Thomas Fletcher, Sarang C. Joshi, Conglin Lu, S...
MIAR
2006
IEEE
13 years 10 months ago
Statistics of Pose and Shape in Multi-object Complexes Using Principal Geodesic Analysis
Abstract. A main focus of statistical shape analysis is the description of variability of a population of geometric objects. In this paper, we present work in progress towards mode...
Martin Styner, Kevin Gorczowski, P. Thomas Fletche...
ECCV
2004
Springer
13 years 10 months ago
Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors
Diffusion tensor magnetic resonance imaging (DT-MRI) is emerging as an important tool in medical image analysis of the brain. However, relatively little work has been done on produ...
P. Thomas Fletcher, Sarang C. Joshi
CVPR
2008
IEEE
14 years 6 months ago
Robust statistics on Riemannian manifolds via the geometric median
The geometric median is a classic robust estimator of centrality for data in Euclidean spaces. In this paper we formulate the geometric median of data on a Riemannian manifold as ...
P. Thomas Fletcher, Suresh Venkatasubramanian, Sar...